Abstract

We present a multilevel global optimization strategy for synthesizing planar
multilayered dielectric structures. A low discrepancy sequence of sample points
with uniform variable space coverage allows a global-level search while systematic
refinement using gradient-based techniques identifies optima at the local level. Since
efficient local optimization is important for this method, a fast calculation approach
based on mode matching is presented; this also facilitates the compact derivation of analytical
gradients. The approach is compared with genetic and simulated annealing
algorithms through an antireflection coating design. The method proves to be competitive
in terms of its performance, nonadaptive algorithm, and ability to track local
solutions.

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